Students will acquire the basic knowledge of

• theory of finite groups and their representations
• theory of Lie algebras and Lie groups and their representations
• Cartan-Weyl methods to develop the representation theory of classical Lie algebras 
• Cartan classification of classical groups and the Dynkin diagrams
• Elementary methods for tensor products of representations. Basic examples in elementary particle physics.
• Theory of the Lorentz Group and its uses in Physics